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Finding the Third Proportional to 297,052 and 459,650

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Solution

The third proportional to 297,052 and 459,650 is: 711,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,052 : 459,650 = 459,650 : x
  2. Step 2: Convert to fraction form
    297,052/459,650 = 459,650/x
  3. Step 3: Cross multiply
    297,052x = 459,650 × 459,650
  4. Step 4: Simplify right side
    297,052x = 211,278,122,500
  5. Step 5: Solve for x
    x = 211,278,122,500/297,052
  6. Step 6: Final answer
    x = 711,249.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.